The article deals with the infinitesimal bending theory application to the knots theory. The
impact of infinitesimal bending on the torsional energy at torus knots is considered, and the …

In view of the meaning of ruled surfaces in aesthetics, statics, scale and manufacturing
technologies, we point out the possibility of a mathematical analysis in the case of …

A Note on the Infinitesimal Bending of a Rectifying Curve Next Article in Journal Some
Results for a Class of Pantograph Integro-Fractional Stochastic Differential Equations …

Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-
dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder …

In this paper, we give the existence and uniqueness theorems for hyperbolic framed curves
and define the k-type hyperbolic framed slant helices in three-dimensional hyperbolic space …

In this paper, we define a ruled surface obtained by an infinitesimal bending of a curve in
Minkowski 3-space. We also characterize such ruled surfaces according to causal …